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Simplifying (a + 6)(a + -3) = 0 Reorder the terms: (6 + a)(a + -3) = 0 Reorder the terms: (6 + a)(-3 + a) = 0 Multiply (6 + a) * (-3 + a) (6(-3 + a) + a(-3 + a)) = 0 ((-3 * 6 + a * 6) + a(-3 + a)) = 0 ((-18 + 6a) + a(-3 + a)) = 0 (-18 + 6a + (-3 * a + a * a)) = 0 (-18 + 6a + (-3a + a2)) = 0 Combine like terms: 6a + -3a = 3a (-18 + 3a + a2) = 0 Solving -18 + 3a + a2 = 0 Solving for variable 'a'. Factor a trinomial. (-6 + -1a)(3 + -1a) = 0Subproblem 1
Set the factor '(-6 + -1a)' equal to zero and attempt to solve: Simplifying -6 + -1a = 0 Solving -6 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1a = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1a = 0 + 6 -1a = 0 + 6 Combine like terms: 0 + 6 = 6 -1a = 6 Divide each side by '-1'. a = -6 Simplifying a = -6Subproblem 2
Set the factor '(3 + -1a)' equal to zero and attempt to solve: Simplifying 3 + -1a = 0 Solving 3 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1a = 0 + -3 -1a = 0 + -3 Combine like terms: 0 + -3 = -3 -1a = -3 Divide each side by '-1'. a = 3 Simplifying a = 3Solution
a = {-6, 3}
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